Δt-dependent equal-sign dilepton asymmetry and CPTV effects in the symmetry of the B0– B0 entangled state

Abstract

In this paper we discuss experimental consequences of a novel kind of CPT violation which would manifest itself in the symmetry of the entangled initial state of B0 and B¯0 through their loss of indistinguishability. The “wrong” symmetry component is proportional to ω. We focus our theoretical study on the ∆t-dependence of observables concerning equal-sign dilepton events for which the intensity vanishes at ∆t = 0 in absence of ω. We find that the charge asymmetry, Asl, acquires a ∆t-dependence linear in ω, whose relative importance appears on specific regions of time still unexplored. We also do a statistical analysis for the measurements here proposed and find a high sensitivity to this new CPT-violating effect in this charge asymmetry. We obtain the first limits on the ω-effect by re-analyzing existing data on the Asl asymmetry.